Regensburg 2007 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 20: Quantum chaos I
DY 20.3: Vortrag
Mittwoch, 28. März 2007, 14:45–15:00, H2
Nodal domains in open microwave systems — •Ulrich Kuhl, Ruven Höhmann, and Hans-Jürgen Stöckmann — AG Quantenchaos, Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany
Nodal domains in the wavefunctions ψ of closed systems have been proposed as a tool to discriminate between regular and chaotic systems [1], and interpreted for chaotic systems in terms of percolation models [2]. The theoretical predictions have been verified experimentally in a closed microwave billiard [3].
In open systems ψ is complex and has no longer nodal lines but nodal points. Still one can define nodal domains for real part ψR and imaginary part ψI of ψ. They show the same behavior as wavefunctions in closed billiards. In addition we investigate the variation of the number of nodal domains and the signed area correlation by changing the global phase ϕg according to ψR+iψI=eiϕg(ψR′+iψI′). This variation can be qualitatively, and the signed area correlation quantitatively explained in terms of the phase rigidity characterizing the openness of the billiard [4].
G. Blum, S. Gnutzmann, and U. Smilansky, Phys. Rev. Lett. 88, 114101 (2002).
E. Bogomolny and C. Schmit, Phys. Rev. Lett. 88, 114102 (2002).
N. Savytskyy, O. Hul, and L. Sirko, Phys. Rev. E 70, 056209 (2004).
Y.-H. Kim, U. Kuhl, H.-J. Stöckmann, and P. W. Brouwer, Phys. Rev. Lett. 94, 036804 (2005)